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LCM of 135, 920, 391, 998

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 135, 920, 391, 998 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 135, 920, 391, 998. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 135,920,391,998

Given numbers are 135,920,391,998

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 135,920,391,998 is 210717720.

Find LCM of 135,920,391,998 with Prime Factorization


2 135, 920, 391, 998
5 135, 460, 391, 499
23 27, 92, 391, 499
27, 4, 17, 499

Multiply the prime numbers at the bottom and the left side.

2 x 5 x 23 x 27 x 4 x 17 x 499 = 210717720

Therefore, the lowest common multiple of 135,920,391,998 is 210717720.

LCM Formula to Find Lowest Common Multiple of 135,920,391,998

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

135 x 920 x 391 x 998 = 48465075600

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

135 : 1, 3, 5, 9, 15, 27, 45, 135

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

391 : 1, 17, 23, 391

998 : 1, 2, 499, 998

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,920,391,998, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

920:2x 2x 2x 5x 23

391:17x 23

998:2x 499

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5x 23 = 230

Therefore, the value for common factors is 230.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 48465075600/(1x230)

LCM = 48465075600/230

LCM = 210717720

Thus, we can understand that the LCM of 135,920,391,998 is 210717720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 135, 920, 391, 998

1. What is the LCM of 135, 920, 391, 998?

Answer: LCM of 135, 920, 391, 998 is 210717720.

2. How to calculate the LCM of 135, 920, 391, 998?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 135, 920, 391, 998.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.